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244401101433100 = 2252191071677198621
BaseRepresentation
bin110111100100100000010000…
…110101010110100100001100
31012001100111221222100201222101
4313210200100311112210030
5224013231423431324400
62223444152131324444
7102323253062330623
oct6744402065264414
91161314858321871
10244401101433100
1170967a1a265377
12234b26a2450724
13a64ac04223461
14444d10d9d46ba
151d3c6781ca56a
hexde4810d5690c

244401101433100 has 144 divisors (see below), whose sum is σ = 566855201445120. Its totient is φ = 91200180614400.

The previous prime is 244401101433059. The next prime is 244401101433107. The reversal of 244401101433100 is 1334101104442.

It is a super-2 number, since 2×2444011014331002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244401101433107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30351790 + ... + 37550410.

It is an arithmetic number, because the mean of its divisors is an integer number (3936494454480).

Almost surely, 2244401101433100 is an apocalyptic number.

244401101433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244401101433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283427600722560).

244401101433100 is an abundant number, since it is smaller than the sum of its proper divisors (322454100012020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244401101433100 is a wasteful number, since it uses less digits than its factorization.

244401101433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198928 (or 7198921 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 244401101433100 its reverse (1334101104442), we get a palindrome (245735202537542).

The spelling of 244401101433100 in words is "two hundred forty-four trillion, four hundred one billion, one hundred one million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 107 167 190 214 334 380 428 475 535 668 835 950 1070 1670 1900 2033 2140 2675 3173 3340 4066 4175 5350 6346 8132 8350 10165 10700 12692 15865 16700 17869 20330 31730 35738 40660 50825 63460 71476 79325 89345 101650 158650 178690 203300 317300 339511 357380 446725 679022 893450 1358044 1697555 1786900 3395110 6790220 7198621 8487775 14397242 16975550 28794484 33951100 35993105 71986210 136773799 143972420 179965525 273547598 359931050 547095196 683868995 719862100 770252447 1202169707 1367737990 1540504894 2404339414 2735475980 3081009788 3419344975 3851262235 4808678828 6010848535 6838689950 7702524470 12021697070 13677379900 14634796493 15405048940 19256311175 22841224433 24043394140 29269592986 30054242675 38512622350 45682448866 58539185972 60108485350 73173982465 77025244700 91364897732 114206122165 120216970700 128632158649 146347964930 228412244330 257264317298 292695929860 365869912325 456824488660 514528634596 571030610825 643160793245 731739824650 1142061221650 1286321586490 1463479649300 2284122443300 2444011014331 2572643172980 3215803966225 4888022028662 6431607932450 9776044057324 12220055071655 12863215864900 24440110143310 48880220286620 61100275358275 122200550716550 244401101433100